Visualizing the Area of a Circle and its Formula
Habilidad:
Usar modelos para desarrollar fórmulas de cálculo de áreas de triángulos, paralelogramos, trapezoides y círculos en problemas numéricos y textuales.
Visualizing the Area of a Circle and its Formula
Develop the formula for finding the area of a circle by breaking a circle into pieces and rearranging them.
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
Pregunta abierta 1
When the circle is rearranged and the number of parts increases, what shape do the rearranged parts start to look like?
Entrada de texto y matemáticas
Pregunta abierta 2
The formula for the area of a parallelogram is . If a circle is rearranged into many parts that appear like a parallelogram, what is the measure of the height and what is the measure of the base?
Entrada de texto y matemáticas
Pregunta abierta 3
How does the formula for the area of a circle relate to the formula for the area of the parallelogram created by rearranging the sectors of the circle?
Entrada de texto y matemáticas
